module intpwmod !$$$ module documentation block ! . . . . ! module: intpwmod module for intpw and its tangent linear intpw_tl ! prgmmr: ! ! abstract: module for intpw and its tangent linear intpw_tl ! ! program history log: ! 2005-05-16 Yanqiu zhu - wrap intpw and its tangent linear intpw_tl into one module ! 2005-11-16 Derber - remove interfaces ! 2008-11-26 Todling - remove intpw_tl; add interface back ! 2009-08-13 lueken - update documentation ! ! subroutines included: ! sub intpw_ ! ! variable definitions: ! ! attributes: ! language: f90 ! machine: ! !$$$ end documentation block implicit none PRIVATE PUBLIC intpw interface intpw; module procedure & intpw_ end interface contains subroutine intpw_(pwhead,rq,sq) !$$$ subprogram documentation block ! . . . . ! subprogram: intpw apply nonlin qc obs operator for p.w. ! prgmmr: derber org: np23 date: 1991-02-26 ! ! abstract: apply observation operator and adjoint for precip. water ! with addition of nonlinear qc. ! ! program history log: ! 1991-02-26 derber ! 1993-08-15 wu ! 1997-12-12 weiyu yang ! 1999-08-24 derber, j., treadon, r., yang, w., first frozen mpp version ! 2003-12-23 d.kleist - routine generalized to use interpolated delta(pressure) ! 2004-08-02 treadon - add only to module use, add intent in/out ! 2004-10-08 parrish - add nonlinear qc ! 2005-03-01 parrish - nonlinear qc change to account for inflated obs error ! 2005-04-11 treadon - merge intpw and intpw_qc into single routine ! 2005-08-02 derber - modify for variational qc parameters for each ob ! 2005-09-28 derber - consolidate location and weight arrays ! 2006-03-30 wu - add vertical index k to i1,i2,i3,i4 in adjoint (bug fix) ! 2006-07-28 derber - modify to use new inner loop obs data structure ! - unify NL qc ! 2007-02-15 rancic - add foto ! 2007-03-19 tremolet - binning of observations ! 2007-06-05 tremolet - use observation diagnostics structure ! 2007-07-09 tremolet - observation sensitivity ! 2008-06-02 safford - rm unused vars ! 2008-01-04 tremolet - Don't apply H^T if l_do_adjoint is false ! 2008-11-28 todling - turn FOTO optional; changed ptr%time handle ! ! input argument list: ! pwhead - obs type pointer to obs structure ! sq - q increment in grid space ! rq ! ! output argument list: ! rq - results from q observation operator ! ! comments: ! ! attributes: ! language: f90 ! machine: ibm RS/6000 SP ! !$$$ use kinds, only: r_kind,i_kind use obsmod, only: pw_ob_type,lsaveobsens,l_do_adjoint use gridmod, only: latlon11,latlon1n,nsig use qcmod, only: nlnqc_iter,varqc_iter use constants, only: ione,zero,tpwcon,half,one,tiny_r_kind,cg_term,r3600 use jfunc, only: jiter,l_foto,xhat_dt,dhat_dt implicit none ! Declare passed variables type(pw_ob_type),pointer ,intent(in ) :: pwhead real(r_kind),dimension(latlon1n),intent(in ) :: sq real(r_kind),dimension(latlon1n),intent(inout) :: rq ! Declare local variables integer(i_kind) k integer(i_kind),dimension(nsig):: i1,i2,i3,i4 ! real(r_kind) penalty real(r_kind) val,pwcon1,w1,w2,w3,w4,time_pw real(r_kind) cg_pw,grad,p0,wnotgross,wgross,pg_pw type(pw_ob_type), pointer :: pwptr time_pw = zero pwptr => pwhead do while (associated(pwptr)) w1=pwptr%wij(1) w2=pwptr%wij(2) w3=pwptr%wij(3) w4=pwptr%wij(4) i1(1)=pwptr%ij(1) i2(1)=pwptr%ij(2) i3(1)=pwptr%ij(3) i4(1)=pwptr%ij(4) do k=2,nsig i1(k)=i1(k-ione)+latlon11 i2(k)=i2(k-ione)+latlon11 i3(k)=i3(k-ione)+latlon11 i4(k)=i4(k-ione)+latlon11 end do val=zero ! Forward model do k=1,nsig val=val+(w1* sq(i1(k))+w2* sq(i2(k)) & + w3* sq(i3(k))+w4* sq(i4(k)))* & tpwcon*pwptr%dp(k) end do if ( l_foto ) then time_pw = pwptr%time*r3600 do k=1,nsig val=val+(w1*xhat_dt%q(i1(k))+w2*xhat_dt%q(i2(k)) & + w3*xhat_dt%q(i3(k))+w4*xhat_dt%q(i4(k)))*time_pw* & tpwcon*pwptr%dp(k) end do endif if (lsaveobsens) then pwptr%diags%obssen(jiter) = val*pwptr%raterr2*pwptr%err2 else if (pwptr%luse) pwptr%diags%tldepart(jiter)=val endif if (l_do_adjoint) then if (lsaveobsens) then grad = pwptr%diags%obssen(jiter) else ! Difference from observation val=val-pwptr%res ! needed for gradient of nonlinear qc operator if (nlnqc_iter .and. pwptr%pg > tiny_r_kind .and. & pwptr%b > tiny_r_kind) then pg_pw=pwptr%pg*varqc_iter cg_pw=cg_term/pwptr%b wnotgross= one-pg_pw wgross = pg_pw*cg_pw/wnotgross p0 = wgross/(wgross+exp(-half*pwptr%err2*val**2)) val = val*(one-p0) endif grad = val*pwptr%raterr2*pwptr%err2 endif ! Adjoint do k=1,nsig pwcon1=tpwcon*pwptr%dp(k)*grad rq(i1(k)) = rq(i1(k))+w1*pwcon1 rq(i2(k)) = rq(i2(k))+w2*pwcon1 rq(i3(k)) = rq(i3(k))+w3*pwcon1 rq(i4(k)) = rq(i4(k))+w4*pwcon1 end do if ( l_foto ) then do k=1,nsig pwcon1=tpwcon*pwptr%dp(k)*grad dhat_dt%q(i1(k))=dhat_dt%q(i1(k))+w1*pwcon1*time_pw dhat_dt%q(i2(k))=dhat_dt%q(i2(k))+w2*pwcon1*time_pw dhat_dt%q(i3(k))=dhat_dt%q(i3(k))+w3*pwcon1*time_pw dhat_dt%q(i4(k))=dhat_dt%q(i4(k))+w4*pwcon1*time_pw end do endif endif pwptr => pwptr%llpoint end do return end subroutine intpw_ end module intpwmod